math 2: polar coordinates Flashcards

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1
Q

regular rectangular coordinates of P are

A

(x, y)

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2
Q

the polar coordinates of P are

A

(r, θ)

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3
Q

if r > 0, it’s measured aong the ray of the

A

terminal side of θ

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4
Q

if r

A

opposite ray

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5
Q

x =

A

rcosθ

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6
Q

y =

A

rsinθ

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7
Q

r²=

A

x² + y²

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8
Q

unlike the case involving rectangular coordinates, each point in the plane can be named by an …. of polar coordinates

A

infinite number

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9
Q

in general, a point in the plane represented by (r, θ) can also be represented by … or … where n is an integer

A

(r, θ + 2πn); (-r, θ + (2n - 1)π)

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